爆发
扩散
数学
流行病模型
操作员(生物学)
光谱半径
基本再生数
半径
口蹄疫
疾病
传输(电信)
统计物理学
人口学
医学
计算机科学
生物
物理
特征向量
病毒学
基因
热力学
病理
社会学
转录因子
抑制因子
电信
量子力学
生物化学
计算机安全
人口
作者
Junyuan Yang,Meijia Gong,Gui‐Quan Sun
标识
DOI:10.1016/j.jde.2023.09.001
摘要
Spatial heterogeneity deeply affects the habits of animals and transmission behaviors of foot-and-mouth disease. To consider the effects of heterogeneous habits on the evolution of the disease prevalence, an age-structured foot-and-mouth disease (FMD) model with nonlocal diffusion is proposed to describe the long distance movements of cattle. The next generation operator G is derived through establishing an extensively renewal equation and then the basic reproduction number R0 is the spectral radius of G. Moreover, the value of R0 serves as a threshold which distinguishes between the disappearance and an outbreak of FMD. The outbreak of FMD is the presentation of the endemic steady state by using the Krasnoselskii fixed point theorem. Finally, numerical simulations shed light on how the magnitudes of nonlocal diffusions affect the evolution of FMD spread.
科研通智能强力驱动
Strongly Powered by AbleSci AI